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Forced Vibrations in a Dynamic System That Is Damped By a Mechanism Which Trans-Pass Through Its Singular Position
Abstract
The paper focuses on forced vibrations of a mechanical system. The system is composed of two structurally different parts: multibody modelled and finite elements modelled. To improve its numerical behaviour, author-proposed technique of tuning of modal properties is proposed. To combine the two sub-models, constraint equations are introduced and dynamics equations are extended with appropriate Lagrange multipliers. A slightly modified author-proposed technique of elimination of the multipliers is also presented. Assuming vibrations as undesired, effective method of energy dissipation is investigated. The present method is based on the modal disparity process. Due to specificity of configuration of the multibody part (its poses are close to its singular position), significant mathematical non-linearities are present. Physical properties of the model, and reactions to its harmonic excitation, are investigated. Calculations are performed for various sets of parameters expressing both: the model and the harmonic excitation. Efficiency of the damping method at the investigated region of the first resonance is confirmed.
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Keywords
Details
- Category:
- Monographic publication
- Type:
- rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
- Language:
- English
- Publication year:
- 2024
- Bibliographic description:
- Lipiński K.: Forced Vibrations in a Dynamic System That Is Damped By a Mechanism Which Trans-Pass Through Its Singular Position// Perspectives in Dynamical Systems II — Numerical and Analytical Approaches.DSTA/ : , 2024, s.327-350
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/978-3-031-56496-3_21
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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